5(5x-4)(6x+7)=0

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Solution for 5(5x-4)(6x+7)=0 equation:



5(5x-4)(6x+7)=0
We multiply parentheses ..
5(+30x^2+35x-24x-28)=0
We multiply parentheses
150x^2+175x-120x-140=0
We add all the numbers together, and all the variables
150x^2+55x-140=0
a = 150; b = 55; c = -140;
Δ = b2-4ac
Δ = 552-4·150·(-140)
Δ = 87025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{87025}=295$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(55)-295}{2*150}=\frac{-350}{300} =-1+1/6 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(55)+295}{2*150}=\frac{240}{300} =4/5 $

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